12(n+2)=5n-4

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Solution for 12(n+2)=5n-4 equation: 


Simplifying
12(n + 2) = 5n + -4

Reorder the terms:
12(2 + n) = 5n + -4
(2 * 12 + n * 12) = 5n + -4
(24 + 12n) = 5n + -4

Reorder the terms:
24 + 12n = -4 + 5n

Solving
24 + 12n = -4 + 5n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-5n' to each side of the equation.
24 + 12n + -5n = -4 + 5n + -5n

Combine like terms: 12n + -5n = 7n
24 + 7n = -4 + 5n + -5n

Combine like terms: 5n + -5n = 0
24 + 7n = -4 + 0
24 + 7n = -4

Add '-24' to each side of the equation.
24 + -24 + 7n = -4 + -24

Combine like terms: 24 + -24 = 0
0 + 7n = -4 + -24
7n = -4 + -24

Combine like terms: -4 + -24 = -28
7n = -28

Divide each side by '7'.
n = -4

Simplifying
n = -4

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